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Finding the Fourth Proportional to 105.15, 157.12 and 85.65

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Solution

The fourth proportional to 105.15, 157.12 and 85.65 is: 127.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.15 : 157.12 = 85.65 : x
  2. Step 2: Convert to fraction form
    105.15/157.12 = 85.65/x
  3. Step 3: Cross multiply
    105.15x = 157.12 × 85.65
  4. Step 4: Simplify right side
    105.15x = 13,457.33
  5. Step 5: Solve for x
    x = 13,457.33/105.15
  6. Step 6: Final answer
    x = 127.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.